2560148798025 has 192 divisors, whose sum is σ = 5287941550080. Its totient is φ = 1064104473600.

The previous prime is 2560148798021. The next prime is 2560148798029. The reversal of 2560148798025 is 5208978410652.

It is an interprime number because it is at equal distance from previous prime (2560148798021) and next prime (2560148798029).

It is not a de Polignac number, because 2560148798025 - 2² = 2560148798021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2560148798021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 738005991 + ... + 738009459.

It is an arithmetic number, because the mean of its divisors is an integer number (27541362240).

Almost surely, 2^{2560148798025} is an apocalyptic number.

2560148798025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2560148798025 is an abundant number, since it is smaller than the sum of its proper divisors (2727792752055).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2560148798025 is a wasteful number, since it uses less digits than its factorization.

2560148798025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 2560148798025 in words is "two trillion, five hundred sixty billion, one hundred forty-eight million, seven hundred ninety-eight thousand, twenty-five".